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Finding the Fourth Proportional to 3,230.92, 4,462.74 and 2,810.44

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Solution

The fourth proportional to 3,230.92, 4,462.74 and 2,810.44 is: 3,881.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.92 : 4,462.74 = 2,810.44 : x
  2. Step 2: Convert to fraction form
    3,230.92/4,462.74 = 2,810.44/x
  3. Step 3: Cross multiply
    3,230.92x = 4,462.74 × 2,810.44
  4. Step 4: Simplify right side
    3,230.92x = 12,542,263.01
  5. Step 5: Solve for x
    x = 12,542,263.01/3,230.92
  6. Step 6: Final answer
    x = 3,881.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.